This article is devoted to the solvability of degenerate nonlinear equations of pseudoparabolic type. Such
problems appear naturally in physical and biological models. The article aims to study the solvability in
the ...
This paper is devoted to explicit and numerical solutions to linear fractional q-difference equations and
the Cauchy type problem associated with the Riemann-Liouville fractional q-derivative in q-calculus. The
approaches ...
The wide prevalence and the systematic variational principles are used in mathematics and applications
due to a series of remarkable consequences among which the possibility to establish the existence of the
solutions ...
In this paper, by means of a change of variables, a nonlinear semi-periodic boundary value problem for
the Goursat equation is reduced to a linear gravity problem for hyperbolic equations. Reintroducing a
new function, ...
The oscillatory theory of fourth order differential equations has not yet been developed well enough. The
results are known only for the case when the coefficients of differential equations are power functions. This
fact ...
In this paper, new objects of research are identified, both from the standpoint of model theory and from
the standpoint of universal algebra. Particularly, the Jonsson spectra of the Jonsson varieties and the
Jonsson ...
The averaging method, originally offered by Krylov and Bogolyubov for ordinary differential equations, is
one of the most widespread and effective methods for the analysis of nonlinear dynamical systems. Further,
the ...
The present work is devoted to the study of the solvability questions for a nonlocal problem with an integrodifferential
conjugation condition for a fourth-order mixed-type equation with a generalized Riemann-
Liouville ...
We consider some initial boundary value problems for the Burgers equation in a rectangular domain, which
in a sense can be taken as a model one. The fact is that such a problem often arises when studying the
Burgers ...
Certain product rules take various forms in the set of hypercomplex numbers. In this paper, we introduced
a new multiplication form of the hypercomplex numbers that would be called ¾the Hadamard product¿,
inspired by the ...
In this paper, the regularization method of S.A.Lomov is generalized to the singularly perturbed integrodifferential
fractional-order derivative equation with rapidly oscillating coefficients. The main goal of the
work ...
In the theory of one-dimensional trigonometric series, the Hardy-Littlewood theorem on Fourier series
with monotone Fourier coefficients is of great importance. Multidimensional versions of this theorem
have been extensively ...
In this work, the solvability of the problem with Neumann and Dirichlet boundary conditions for the
Gellerstedt equation in four variables was investigated. The energy integral method was used to prove the
uniqueness of ...
The theory of embedding of spaces of differentiable functions studies the important relations of differential
(smoothness) properties of functions in various metrics and has a wide application in the theory of boundary
value ...
The inverse problem of determining the weight of three intermediate masses on a uniform beam from the
known three natural frequencies has been solved. The performed numerical analysis allows restoring the
value of only ...
In this paper, we obtained several new integral inequalities using fractional Riemann-Liouville integrals for
convex s-Godunova-Levin functions in the second sense and for quasi-convex functions. The results were
gained ...